2(x-2)=4(x+2)

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Solution for 2(x-2)=4(x+2) equation: 


Simplifying
2(x + -2) = 4(x + 2)

Reorder the terms:
2(-2 + x) = 4(x + 2)
(-2 * 2 + x * 2) = 4(x + 2)
(-4 + 2x) = 4(x + 2)

Reorder the terms:
-4 + 2x = 4(2 + x)
-4 + 2x = (2 * 4 + x * 4)
-4 + 2x = (8 + 4x)

Solving
-4 + 2x = 8 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-4 + 2x + -4x = 8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-4 + -2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + -2x = 8 + 0
-4 + -2x = 8

Add '4' to each side of the equation.
-4 + 4 + -2x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = 8 + 4
-2x = 8 + 4

Combine like terms: 8 + 4 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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